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Finding the Third Proportional to 148,198.50 and 324,504

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Solution

The third proportional to 148,198.50 and 324,504 is: 710,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,198.50 : 324,504 = 324,504 : x
  2. Step 2: Convert to fraction form
    148,198.50/324,504 = 324,504/x
  3. Step 3: Cross multiply
    148,198.50x = 324,504 × 324,504
  4. Step 4: Simplify right side
    148,198.50x = 105,302,846,016
  5. Step 5: Solve for x
    x = 105,302,846,016/148,198.50
  6. Step 6: Final answer
    x = 710,552.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.